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Finding the Fourth Proportional to 816.99, 1,227.44 and 525.07

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Solution

The fourth proportional to 816.99, 1,227.44 and 525.07 is: 788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.99 : 1,227.44 = 525.07 : x
  2. Step 2: Convert to fraction form
    816.99/1,227.44 = 525.07/x
  3. Step 3: Cross multiply
    816.99x = 1,227.44 × 525.07
  4. Step 4: Simplify right side
    816.99x = 644,491.92
  5. Step 5: Solve for x
    x = 644,491.92/816.99
  6. Step 6: Final answer
    x = 788.86

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.